1330258241088 has 560 divisors, whose sum is σ = 4616284172544. Its totient is φ = 370904002560.

The previous prime is 1330258241083. The next prime is 1330258241093. The reversal of 1330258241088 is 8801428520331.

1330258241088 is a `hidden beast` number, since 133 + 0 + 25 + 8 + 2 + 410 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (1330258241083) and next prime (1330258241093).

It is not an unprimeable number, because it can be changed into a prime (1330258241083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 378881253 + ... + 378884763.

Almost surely, 2^{1330258241088} is an apocalyptic number.

1330258241088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330258241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308142086272).

1330258241088 is an abundant number, since it is smaller than the sum of its proper divisors (3286025931456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330258241088 is a wasteful number, since it uses less digits than its factorization.

1330258241088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1330258241088 in words is "one trillion, three hundred thirty billion, two hundred fifty-eight million, two hundred forty-one thousand, eighty-eight".